On Gaussian curvature and membrane fission
Abstract We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simu...
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Nature Portfolio
2021
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oai:doaj.org-article:665ea74d63af442ebbe6c3d1c2699e912021-12-02T16:51:50ZOn Gaussian curvature and membrane fission10.1038/s41598-021-88851-y2045-2322https://doaj.org/article/665ea74d63af442ebbe6c3d1c2699e912021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-88851-yhttps://doaj.org/toc/2045-2322Abstract We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes.Mara Denisse Rueda-ContrerasAndreu F. GallenJ. Roberto Romero-AriasAurora Hernandez-MachadoRafael A. BarrioNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021) |
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DOAJ |
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DOAJ |
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EN |
| topic |
Medicine R Science Q |
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Medicine R Science Q Mara Denisse Rueda-Contreras Andreu F. Gallen J. Roberto Romero-Arias Aurora Hernandez-Machado Rafael A. Barrio On Gaussian curvature and membrane fission |
| description |
Abstract We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes. |
| format |
article |
| author |
Mara Denisse Rueda-Contreras Andreu F. Gallen J. Roberto Romero-Arias Aurora Hernandez-Machado Rafael A. Barrio |
| author_facet |
Mara Denisse Rueda-Contreras Andreu F. Gallen J. Roberto Romero-Arias Aurora Hernandez-Machado Rafael A. Barrio |
| author_sort |
Mara Denisse Rueda-Contreras |
| title |
On Gaussian curvature and membrane fission |
| title_short |
On Gaussian curvature and membrane fission |
| title_full |
On Gaussian curvature and membrane fission |
| title_fullStr |
On Gaussian curvature and membrane fission |
| title_full_unstemmed |
On Gaussian curvature and membrane fission |
| title_sort |
on gaussian curvature and membrane fission |
| publisher |
Nature Portfolio |
| publishDate |
2021 |
| url |
https://doaj.org/article/665ea74d63af442ebbe6c3d1c2699e91 |
| work_keys_str_mv |
AT maradenisseruedacontreras ongaussiancurvatureandmembranefission AT andreufgallen ongaussiancurvatureandmembranefission AT jrobertoromeroarias ongaussiancurvatureandmembranefission AT aurorahernandezmachado ongaussiancurvatureandmembranefission AT rafaelabarrio ongaussiancurvatureandmembranefission |
| _version_ |
1718382921552756736 |